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## roundiv – Division of integers with rounding

Write a program that
computes the rounded integer division between two integers,
i.e. *divide and round to the nearest integer*.
For the purposes of this exercise,
this should be done without resorting to floats or doubles.
Halfway cases, where the fractional part is *exactly “.5”*,
should be rounded to the *nearest even integer*.
Here are a few examples:

- the nearest integer to 4 divided by 3 if 1;
- the nearest integer to 8 divided by 3 is 3;
- the nearest integer to 100 divided by 80 is 1;
- the nearest even integer to 18 divided by 12 is 2.

### Input and Output

Each line of input will contain two integers *n* and *d* in the range:

*-2 000 000 000 ≤ m, n ≤ 2 000 000 000*

For each line of input your program should produce a line of output with the result of rounding *m* divided by *n*.

#### Example input

```
4 3
8 3
100 80
18 12
```

### The `roundiv`

function

Your program should be implemented using an `roundiv`

function
that receives two integers as arguments and returns an integer.
Please refer to the information for the chosen language:

- C prototype:
`int roundiv(int n, int d);`

- Python definition:
`def roundiv(n,d):`

- Haskell type:
`roundiv :: Int -> Int -> Int`

For the purposes of this exercise,
you should not use floats or doubles
when implementing `roundiv`

nor rounding functions provided by your language of choice.
The point here is to exercise the implementation of rounding.

### Scoring

Submit your solution to be graded according to the following list:

- 1/12: works for the above example but produces output in an incorrect format
- 2/12: works for the above example and produces output in the correct format
- 3/12: divides multiples and divisors correctly
- 4/12: rounds down in the correct cases
- 5/12: rounds up in the correct cases
- 6/12: rounds halfway cases correctly
- 7/12: divides negative numbers
- 8/12: divides large integers
- 12/12: implements the
`roundiv`

function

try first: gcd lcm

try next: primes

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